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Finding the Fourth Proportional to 1,462.70, 2,203.83 and 1,324.06

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Solution

The fourth proportional to 1,462.70, 2,203.83 and 1,324.06 is: 1,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.70 : 2,203.83 = 1,324.06 : x
  2. Step 2: Convert to fraction form
    1,462.70/2,203.83 = 1,324.06/x
  3. Step 3: Cross multiply
    1,462.70x = 2,203.83 × 1,324.06
  4. Step 4: Simplify right side
    1,462.70x = 2,918,003.15
  5. Step 5: Solve for x
    x = 2,918,003.15/1,462.70
  6. Step 6: Final answer
    x = 1,994.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.